Answer:
A
Step-by-step explanation:
Hey There!
So these triangles are congruent so segment CD is equal to segment DB
so to find x we use the equation
7x+10=10x+7
now we solve for x
step 1 subtract each side by 7
10-7=3
7-7 cancels out
now we have 7x+3=10x
step 2 subtract each side by 7 x
10x-7x=3x
7x-7x= cancels out
now we have
3x=3
step 3 divide each side by 3
3/3=1
3/3 cancels out
now we have
x=1
Callum must buy one packet of dog food every 10 days
Try this solution (the way shown is not the shortest one):
The task on the left part:
1. note, the point P and R have coordinates (-4;-4) and (-3;-2).
2. using the coordinates of points P and R it is possible to make up the equation of the required line:

The task of the right part:
1. note, the common view of the equation of the line is y=kx+b, where b - an intersection point of the Y-axis and the given line; k=QR/PQ.
2. according the picture b= -5, k=4/1=5, so <u>y= -4x-5</u>
Answer:
(x+4)(x+2)
Step-by-step explanation:
Distributive property of 2 binomials:
First, outer, inner, last
(a+b)(c+d) = ac+ad+bc +bd
Factor x^2 into x*x
Factor 8 into 2*2*2
Find what two numbers add up to 6 and multiply to get 8
1 and 8 do not work because they add up to 9. 2 and 4 work because they add up to 6.
Check: (x+4)(x+2)
First: x*x = x^2
Outer: 2*x
Inner: 4*x
Last: 2*4 = 8
Add together: x^2+2x+4x+8 = x^2+6x+8